A holomorphic semigroup approach to the lumped mass finite element method
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摘要
The lumped mass finite element approximation for a linear homogeneous parabolic equation is considered. We deal with a semidiscrete (in the space variable) scheme and derive L2 and H1 error estimates of optimal order with nonsmooth initial data. Our main tool is the holomorphic (analytic) semigroup theory.
论文关键词：Finite element method,Lumped mass approximation,Holomorphic semigroup
论文评审过程：Received 27 March 2003, Revised 29 October 2003, Available online 27 February 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2003.11.003
